"""
Large part of this code is based on another piece of code, so we include the disclaimer beneath
"""

"""
    Copyright (C) 2012 Bo Zhu http://about.bozhu.me
    Permission is hereby granted, free of charge, to any person obtaining a
    copy of this software and associated documentation files (the "Software"),
    to deal in the Software without restriction, including without limitation
    the rights to use, copy, modify, merge, publish, distribute, sublicense,
    and/or sell copies of the Software, and to permit persons to whom the
    Software is furnished to do so, subject to the following conditions:
    The above copyright notice and this permission notice shall be included in
    all copies or substantial portions of the Software.
    THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
    IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
    FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
    THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
    LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
    FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
    DEALINGS IN THE SOFTWARE.
"""


def xor(a, b):
    return ''.join(chr(ord(ac) ^ ord(bc)) for ac, bc in zip(a, b))


Sbox = (
    0x63, 0x7C, 0x77, 0x7B, 0xF2, 0x6B, 0x6F, 0xC5, 0x30, 0x01, 0x67, 0x2B, 0xFE, 0xD7, 0xAB, 0x76,
    0xCA, 0x82, 0xC9, 0x7D, 0xFA, 0x59, 0x47, 0xF0, 0xAD, 0xD4, 0xA2, 0xAF, 0x9C, 0xA4, 0x72, 0xC0,
    0xB7, 0xFD, 0x93, 0x26, 0x36, 0x3F, 0xF7, 0xCC, 0x34, 0xA5, 0xE5, 0xF1, 0x71, 0xD8, 0x31, 0x15,
    0x04, 0xC7, 0x23, 0xC3, 0x18, 0x96, 0x05, 0x9A, 0x07, 0x12, 0x80, 0xE2, 0xEB, 0x27, 0xB2, 0x75,
    0x09, 0x83, 0x2C, 0x1A, 0x1B, 0x6E, 0x5A, 0xA0, 0x52, 0x3B, 0xD6, 0xB3, 0x29, 0xE3, 0x2F, 0x84,
    0x53, 0xD1, 0x00, 0xED, 0x20, 0xFC, 0xB1, 0x5B, 0x6A, 0xCB, 0xBE, 0x39, 0x4A, 0x4C, 0x58, 0xCF,
    0xD0, 0xEF, 0xAA, 0xFB, 0x43, 0x4D, 0x33, 0x85, 0x45, 0xF9, 0x02, 0x7F, 0x50, 0x3C, 0x9F, 0xA8,
    0x51, 0xA3, 0x40, 0x8F, 0x92, 0x9D, 0x38, 0xF5, 0xBC, 0xB6, 0xDA, 0x21, 0x10, 0xFF, 0xF3, 0xD2,
    0xCD, 0x0C, 0x13, 0xEC, 0x5F, 0x97, 0x44, 0x17, 0xC4, 0xA7, 0x7E, 0x3D, 0x64, 0x5D, 0x19, 0x73,
    0x60, 0x81, 0x4F, 0xDC, 0x22, 0x2A, 0x90, 0x88, 0x46, 0xEE, 0xB8, 0x14, 0xDE, 0x5E, 0x0B, 0xDB,
    0xE0, 0x32, 0x3A, 0x0A, 0x49, 0x06, 0x24, 0x5C, 0xC2, 0xD3, 0xAC, 0x62, 0x91, 0x95, 0xE4, 0x79,
    0xE7, 0xC8, 0x37, 0x6D, 0x8D, 0xD5, 0x4E, 0xA9, 0x6C, 0x56, 0xF4, 0xEA, 0x65, 0x7A, 0xAE, 0x08,
    0xBA, 0x78, 0x25, 0x2E, 0x1C, 0xA6, 0xB4, 0xC6, 0xE8, 0xDD, 0x74, 0x1F, 0x4B, 0xBD, 0x8B, 0x8A,
    0x70, 0x3E, 0xB5, 0x66, 0x48, 0x03, 0xF6, 0x0E, 0x61, 0x35, 0x57, 0xB9, 0x86, 0xC1, 0x1D, 0x9E,
    0xE1, 0xF8, 0x98, 0x11, 0x69, 0xD9, 0x8E, 0x94, 0x9B, 0x1E, 0x87, 0xE9, 0xCE, 0x55, 0x28, 0xDF,
    0x8C, 0xA1, 0x89, 0x0D, 0xBF, 0xE6, 0x42, 0x68, 0x41, 0x99, 0x2D, 0x0F, 0xB0, 0x54, 0xBB, 0x16,
)

InvSbox = (
    0x52, 0x09, 0x6A, 0xD5, 0x30, 0x36, 0xA5, 0x38, 0xBF, 0x40, 0xA3, 0x9E, 0x81, 0xF3, 0xD7, 0xFB,
    0x7C, 0xE3, 0x39, 0x82, 0x9B, 0x2F, 0xFF, 0x87, 0x34, 0x8E, 0x43, 0x44, 0xC4, 0xDE, 0xE9, 0xCB,
    0x54, 0x7B, 0x94, 0x32, 0xA6, 0xC2, 0x23, 0x3D, 0xEE, 0x4C, 0x95, 0x0B, 0x42, 0xFA, 0xC3, 0x4E,
    0x08, 0x2E, 0xA1, 0x66, 0x28, 0xD9, 0x24, 0xB2, 0x76, 0x5B, 0xA2, 0x49, 0x6D, 0x8B, 0xD1, 0x25,
    0x72, 0xF8, 0xF6, 0x64, 0x86, 0x68, 0x98, 0x16, 0xD4, 0xA4, 0x5C, 0xCC, 0x5D, 0x65, 0xB6, 0x92,
    0x6C, 0x70, 0x48, 0x50, 0xFD, 0xED, 0xB9, 0xDA, 0x5E, 0x15, 0x46, 0x57, 0xA7, 0x8D, 0x9D, 0x84,
    0x90, 0xD8, 0xAB, 0x00, 0x8C, 0xBC, 0xD3, 0x0A, 0xF7, 0xE4, 0x58, 0x05, 0xB8, 0xB3, 0x45, 0x06,
    0xD0, 0x2C, 0x1E, 0x8F, 0xCA, 0x3F, 0x0F, 0x02, 0xC1, 0xAF, 0xBD, 0x03, 0x01, 0x13, 0x8A, 0x6B,
    0x3A, 0x91, 0x11, 0x41, 0x4F, 0x67, 0xDC, 0xEA, 0x97, 0xF2, 0xCF, 0xCE, 0xF0, 0xB4, 0xE6, 0x73,
    0x96, 0xAC, 0x74, 0x22, 0xE7, 0xAD, 0x35, 0x85, 0xE2, 0xF9, 0x37, 0xE8, 0x1C, 0x75, 0xDF, 0x6E,
    0x47, 0xF1, 0x1A, 0x71, 0x1D, 0x29, 0xC5, 0x89, 0x6F, 0xB7, 0x62, 0x0E, 0xAA, 0x18, 0xBE, 0x1B,
    0xFC, 0x56, 0x3E, 0x4B, 0xC6, 0xD2, 0x79, 0x20, 0x9A, 0xDB, 0xC0, 0xFE, 0x78, 0xCD, 0x5A, 0xF4,
    0x1F, 0xDD, 0xA8, 0x33, 0x88, 0x07, 0xC7, 0x31, 0xB1, 0x12, 0x10, 0x59, 0x27, 0x80, 0xEC, 0x5F,
    0x60, 0x51, 0x7F, 0xA9, 0x19, 0xB5, 0x4A, 0x0D, 0x2D, 0xE5, 0x7A, 0x9F, 0x93, 0xC9, 0x9C, 0xEF,
    0xA0, 0xE0, 0x3B, 0x4D, 0xAE, 0x2A, 0xF5, 0xB0, 0xC8, 0xEB, 0xBB, 0x3C, 0x83, 0x53, 0x99, 0x61,
    0x17, 0x2B, 0x04, 0x7E, 0xBA, 0x77, 0xD6, 0x26, 0xE1, 0x69, 0x14, 0x63, 0x55, 0x21, 0x0C, 0x7D,
)

xtime = lambda a: (((a << 1) ^ 0x1B) & 0xFF) if (a & 0x80) else (a << 1)

Rcon = (
    0x00, 0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40,
    0x80, 0x1B, 0x36, 0x6C, 0xD8, 0xAB, 0x4D, 0x9A,
    0x2F, 0x5E, 0xBC, 0x63, 0xC6, 0x97, 0x35, 0x6A,
    0xD4, 0xB3, 0x7D, 0xFA, 0xEF, 0xC5, 0x91, 0x39,
)


def text2matrix(text):
    matrix = []
    for i in range(16):
        byte = ord(text[i])
        if i % 4 == 0:
            matrix.append([byte])
        else:
            matrix[i / 4].append(byte)
    return matrix


def matrix2text(matrix):
    text = ''
    for i in range(4):
        for j in range(4):
            text = text + chr(matrix[i][j])
    return text


class AES:
    def init(self, master_key=None):
        if master_key:
            self.change_key(master_key)

    def change_key(self, master_key):
        self.round_keys = text2matrix(master_key)

        for i in range(4, 4 * 11):
            self.round_keys.append([])
            if i % 4 == 0:
                byte = self.round_keys[i - 4][0] \
                       ^ Sbox[self.round_keys[i - 1][1]] \
                       ^ Rcon[i / 4]
                self.round_keys[i].append(byte)

                for j in range(1, 4):
                    byte = self.round_keys[i - 4][j] \
                           ^ Sbox[self.round_keys[i - 1][(j + 1) % 4]]
                    self.round_keys[i].append(byte)
            else:
                for j in range(4):
                    byte = self.round_keys[i - 4][j] \
                           ^ self.round_keys[i - 1][j]
                    self.round_keys[i].append(byte)

    def encrypt(self, plaintext):
        self.plain_state = text2matrix(plaintext)
        self.add_round_key(self.plain_state, self.round_keys[:4])
        for i in range(1, 10):
            self.round_encrypt(self.plain_state, self.round_keys[4 * i: 4 * (i + 1)])
        self.sub_bytes(self.plain_state)
        self.shift_rows(self.plain_state)
        self.add_round_key(self.plain_state, self.round_keys[40:])

        return matrix2text(self.plain_state)

    def decrypt(self, ciphertext):
        self.cipher_state = text2matrix(ciphertext)
        self.add_round_key(self.cipher_state, self.round_keys[40:])
        self.inv_shift_rows(self.cipher_state)
        self.inv_sub_bytes(self.cipher_state)
        for i in range(9, 0, -1):
            self.round_decrypt(self.cipher_state, self.round_keys[4 * i: 4 * (i + 1)])
        self.add_round_key(self.cipher_state, self.round_keys[:4])
        return matrix2text(self.cipher_state)

    def add_round_key(self, s, k):
        for i in range(4):
            for j in range(4):
                s[i][j] ^= k[i][j]

    def sr_encrypt(self, plaintext, key):
        state_matrix = text2matrix(plaintext)
        key_matrix = text2matrix(key)

        self.round_encrypt(state_matrix, key_matrix)

        return matrix2text(state_matrix)

    def round_encrypt(self, state_matrix, key_matrix):
        self.sub_bytes(state_matrix)
        self.shift_rows(state_matrix)
        self.mix_columns(state_matrix)
        self.add_round_key(state_matrix, key_matrix)

    def sr_decryptlast(self, plaintext, key):
        state_matrix = text2matrix(plaintext)
        key_matrix = text2matrix(key)
        self.add_round_key(state_matrix, key_matrix)
        self.inv_shift_rows(state_matrix)
        self.inv_sub_bytes(state_matrix)
        return matrix2text(state_matrix)

    def sr_decrypt(self, plaintext, key):
        state_matrix = text2matrix(plaintext)
        key_matrix = text2matrix(key)

        self.round_decrypt(state_matrix, key_matrix)

        return matrix2text(state_matrix)

    def round_decrypt(self, state_matrix, key_matrix):
        self.add_round_key(state_matrix, key_matrix)
        self.inv_mix_columns(state_matrix)
        self.inv_shift_rows(state_matrix)
        self.inv_sub_bytes(state_matrix)

    def sub_bytes(self, s):
        for i in range(4):
            for j in range(4):
                s[i][j] = Sbox[s[i][j]]

    def x_sub_bytes(self, s):
        s = text2matrix(s)
        self.sub_bytes(s)
        return matrix2text(s)

    def x_mix_columns(self, s):
        s = text2matrix(s)
        self.mix_columns(s)
        return matrix2text(s)

    def x_inv_sub_bytes(self, s):
        s = text2matrix(s)
        self.inv_sub_bytes(s)
        return matrix2text(s)

    def x_inv_mix_columns(self, s):
        s = text2matrix(s)
        self.inv_mix_columns(s)
        return matrix2text(s)

    def x_inv_shift_rows(self, s):
        s = text2matrix(s)
        self.inv_shift_rows(s)
        return matrix2text(s)

    def x_shift_rows(self, s):
        s = text2matrix(s)
        self.shift_rows(s)
        return matrix2text(s)

    def inv_sub_bytes(self, s):
        for i in range(4):
            for j in range(4):
                s[i][j] = InvSbox[s[i][j]]

    def shift_rows(self, s):
        s[0][1], s[1][1], s[2][1], s[3][1] = s[1][1], s[2][1], s[3][1], s[0][1]
        s[0][2], s[1][2], s[2][2], s[3][2] = s[2][2], s[3][2], s[0][2], s[1][2]
        s[0][3], s[1][3], s[2][3], s[3][3] = s[3][3], s[0][3], s[1][3], s[2][3]

    def inv_shift_rows(self, s):
        s[0][1], s[1][1], s[2][1], s[3][1] = s[3][1], s[0][1], s[1][1], s[2][1]
        s[0][2], s[1][2], s[2][2], s[3][2] = s[2][2], s[3][2], s[0][2], s[1][2]
        s[0][3], s[1][3], s[2][3], s[3][3] = s[1][3], s[2][3], s[3][3], s[0][3]

    def mix_single_column(self, a):
        # please see Sec 4.1.2 in The Design of Rijndael
        t = a[0] ^ a[1] ^ a[2] ^ a[3]
        u = a[0]
        a[0] ^= t ^ xtime(a[0] ^ a[1])
        a[1] ^= t ^ xtime(a[1] ^ a[2])
        a[2] ^= t ^ xtime(a[2] ^ a[3])
        a[3] ^= t ^ xtime(a[3] ^ u)

    def mix_columns(self, s):
        for i in range(4):
            self.mix_single_column(s[i])

    def inv_mix_columns(self, s):
        # see Sec 4.1.3 in The Design of Rijndael
        for i in range(4):
            u = xtime(xtime(s[i][0] ^ s[i][2]))
            v = xtime(xtime(s[i][1] ^ s[i][3]))
            s[i][0] ^= u
            s[i][1] ^= v
            s[i][2] ^= u
            s[i][3] ^= v

        self.mix_columns(s)
